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Maths

Vision

At Kennall Vale School, we endeavour to help all children achieve their potential in mathematics. We challenge and support them to grapple with new concepts, tackle tricky problems and learn from their mistakes in a positive way. We believe that with the right tools anyone can be successful in maths. Maths is a language, it just uses numbers and symbols instead of letters and punctuation. Like any language, being fluent is the aim of the game.

  • Children that can manipulate numbers and calculations confidently will be more efficient mathematicians. The idea that only children born with a mathematical disposition can be fluent in maths is simply not true.
  • Children who learn their number facts, and later times tables, until their recall is automatic give themselves a strong foundation to build new ideas on.
  • Understanding place value is crucially important and each year we recap and challenge the children's grasp on this key concept.  
  • Children are given the time and space to reason mathematically, often through dialogue and collaboration.
  • We encourage children to learn different problem solving skills and mechanisms. Thinking systematically, or algorithmically is often the most effective way to solve a problem but we also encourage creativity and the use of shortcuts in their effort to become more efficient.

We set high expectations in all our subjects, maths is no exception. We strive to foster a learning environment where children know where to find support as well as how to tackle mistakes, seeing them as opportunities for learning rather than something they just 'can't do'. Perseverance and resilience are key in maths as they are in tackling all challenges and we passionately support children in developing these key character traits.

 

Intent

At Kennall Vale School, we are committed to giving children the best possible start in life. Chances of success are maximised if a child develops a deep, lasting understanding of mathematical procedures and concepts. We see maths as a key language for life that helps children link together scientific ideas and engage and connect with the world around them. We aim to generate a positive attitude to maths and nurture a curious and critical mind-set. We want our children to head into KS3 with a solid foundation including; a good understanding of place value, powers of ten and the ability to quickly and efficiently recall key number facts including bonds and multiplication facts. Whilst it is important to memorise number facts, we focus equally on their application and encourage efficient number manipulation and fluency.

 

Implementation

Every child at KVS, in KS1 and KS2 will have a structured daily maths lesson lasting between 45 and 60 minutes. In our EYFS class mathematical skills and concepts are taught through focussed group activities, including mastering number and developed through play and ever-present in continuous provision. We deliver high quality teaching using a bespoke, consistent approach that has been honed in the Maths Hub mastery program and supported by local cluster as well as TPAT maths hub groups. We aim to ensure all children master the concepts being taught, with an emphasis on place value, combined with a repertoire of key skills including quick recall of number facts, bonds and times-tables. Lessons are broken down into small connected steps that gradually reveal the concept in question providing access for all children and leading to a greater understanding. This approach gives children more opportunities to view and explore the concept in a variety of contexts. The sequence of lessons as well as the progression within a session itself, is carefully designed in order to draw attention to the mathematical relationships and structures linking the learning point to the fundamental concept being explored. We follow the White Rose maths small steps to ensure coverage but have tailored our delivery in order to provide the best possible service to the children at KVS. Each medium term sequence of learning is broken down into pyramid steps that clearly show how each stage builds on previous learning. Each lesson is then broken down into 4 sections, quick-fire number facts to support fluency and retention of number facts, recapping prior learning, new learning which is led by the teacher and involves both direct teaching and guided practise followed by challenge and challenge 2 where the children are encouraged to use the skills learned that lesson as well as previously mastered concepts in order to solve more complex problems. We constantly improve and adapt our teaching and lesson materials in order to maintain our very high standards. We use concrete resources, carefully selected manipulatives and pictorial representations, where appropriate, in order to support the understanding of a new concept or to support embedding. Manipulatives can also be used to effectively draw attention to a misconception. As children become more confident they will explore these concepts in greater depth and use a range of reasoning and problem solving activities and effective questioning to develop a secure understanding. As a school we have really embraced the teaching for mastery approach developing our practise with consideration to the 5 big ideas. Alongside maths lessons we use the ‘Mastering number’ program in our EYFS and KS1 classes to further support the children’s ability to manipulate number and spot patterns.

 

Impact

Teachers plan and deliver lessons to address the needs of all pupils with the use of scaffolding, skillful questioning, rapid marking and intervention and carefully designed enriching activities. Consistency from EYFS to Year 6 is vital, teachers refer to our robust and supportive calculation policy, tailor made to fit the needs of the pupil’s at KVS. Pupils who grasp concepts rapidly are challenged by being offered rich and sophisticated questions and problems before any acceleration to new content. From EYFS children are supported in developing mathematical reasoning and given opportunities to use shortcuts and problem solving efficiently. We encourage children to explore conjectures and tackle open ended problems, often linked to real world scenarios, which give context to mathematical procedures.  We believe the key to success, in early maths, is a strong foundation understanding of place value coupled with the ability to quickly and accurately recall number facts including times tables. We supplement our teaching of the mastery curriculum with daily opportunities to hone these key skills. 

The National Curriculum

The national curriculum for mathematics aims to ensure that all pupils:
  •  become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately
  • reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language
  • can solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions.’ (National curriculum page 3)
Teaching of Maths at Kennall Vale
At Kennall Vale School we use a small step approach to teaching mathematics. To ensure we are covering everything from the National Curriculum consistently, we follow the White Rose yearly overviews for EYFS, KS1 and KS2. 
Teachers use their professional judgment and knowledge of their children to adapt the small steps as necessary to most effectively meet their needs. Medium term plans showing individual small steps are made into 'Pyramids'. This is a great visual for the children to see where they are on their journey and the importance of building the solid foundation before moving on or up. Teachers also have the ability to add or adapt small steps as required and the subject lead can track changes remotely on google-drive to ensure coverage is maintained.
 
Teachers are always supported by the KVS calculation policy and subject lead as well as resources from the NCETM and Maths Hub. There is also a declarative knowledge overview to showcase when key 'nuggets' of information need to be incorporated into lessons.
 
We are currently part of the sustaining TRG with the Maths Hub.
See the Kennall Vale calculation policy for information on how your child is calculating at school.
Lesson structure at Kennall Vale
Class structure
 
As we are a mixed age school, some year groups have to adapt slightly to the order of their lesson. Below, you will see the order in which children in each class and year group experience a maths lesson. 
Mastering Number
What is Mastering Number?
 
Mastering Number is a program run by the NCETM. It has been hugely successful since its launch and we are fortunate enough to be able to deliver it at Kennall Vale. Lessons are short and sharp with the focus on mental strategies and dialogue and collaboration over written work. 
What do the children learn?
 
This project aims to secure firm foundations in the development of good number sense for all children from Reception through to Year 1 and Year 2. The aim over time is that children will leave KS1 with fluency in calculation and a confidence and flexibility with number. Attention will be given to key knowledge and understanding needed in Reception classes, and progression through KS1 to support success in the future.
Why is this useful?
 
  • Pupils will develop and demonstrate good number sense including subitsing and conceptual subitising
  • Teachers develop a secure understanding of how to build firm mathematical foundations
  • Teachers will work to develop intentional teaching strategies focused on developing fluency in calculation and number sense for all children
  • You will develop understanding and use of appropriate manipulatives to support your teaching of mathematical structures
Assessment
Curriculum adaptations in maths
How to help your child at home
Number facts and automatic recall
In year 1 and 2 your child is building the foundation to their understanding of mathematics. Just like learning to read English, maths is another language they need to develop a strong grasp of. So, just as reading (practising phonics) is a crucial part of your child’s daily learning, so is maths.
As new concepts are being learnt it’s important to give the children the best possible chance of understanding them without misconceptions. For this to be most effective, number facts and bonds need to be learned for automatic recall.
This shows the number facts that we encourage your child to learn by the end of KS1.
Embedding learning through play
Russo, Russo and Bragg (2018:30), drawing on the research on mathematical games, identify five principles of educationally rich mathematical games. These are:

Mathematical games should be engaging, enjoyable and generate mathematical discussion.
Mathematical games should appropriately balance skill and luck.
Exploring important mathematical concepts and practising important skills should be central to game strategy and gameplay.
Mathematical games should be easily differentiated to cater for a variety of learners, and modifiable to cater to a variety of concepts.
Mathematical games should provide opportunities for fostering home-school connections.
 
At KVS we encourage children of all ages to learn through engaging games. Games, such as those found on 'mathsframe.co.uk', help children embed their new learning as well as encouraging children to work efficiently in a pressure-free environment.
This helps their mathematical fluency and automaticity allowing them to focus on concepts rather than calculation in future learning.
We also encourage children in KS1 to practise Numbots. This works really well alongside Mastering Number that they do at school. It helps embed the processes that they have been learning and practising during the day.

In KS2 all children practise times tables at school but are encouraged to practise at home as well. Times Table Rock Stars is one way to improve automaticity but not the only way. If you or your child would like to talk through some different programs or strategies to learn time tables, please contact Mr Robinson through Class Dojo or speak with him at school.
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